LCM of 644, 749, 444, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 644, 749, 444, 504 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 644, 749, 444, 504. So, keep reading to learn more.
Given numbers are 644,749,444,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 644,749,444,504 is 45892728.
Find LCM of 644,749,444,504 with Prime Factorization
| 2 | 644, 749, 444, 504 |
| 2 | 322, 749, 222, 252 |
| 3 | 161, 749, 111, 126 |
| 7 | 161, 749, 37, 42 |
| 23, 107, 37, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 107 x 37 x 6 = 45892728
Therefore, the lowest common multiple of 644,749,444,504 is 45892728.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
644 x 749 x 444 x 504 = 107939696256
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
749 : 1, 7, 107, 749
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,749,444,504, is 1.
Now, the common factors can be found like this.
644:2x 2x 7x 23
749:7x 107
444:2x 2x 3x 37
504:2x 2x 2x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 7x 7 = 2352
Therefore, the value for common factors is 2352.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 107939696256/(1x2352)
LCM = 107939696256/2352
LCM = 45892728
Thus, we can understand that the LCM of 644,749,444,504 is 45892728.
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FAQs on LCM of 644, 749, 444, 504
1. What is the LCM of 644, 749, 444, 504?
Answer: LCM of 644, 749, 444, 504 is 45892728.
2. How to calculate the LCM of 644, 749, 444, 504?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 644, 749, 444, 504.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.